Journal Writing for 4E1

Journal Writing : Understanding concept of max / min point

Graph 1:

Maximum point : (-5, 7), (1, 5)
Minimum point : (-2, -1), (6, -1)
Stationary points, dy/dx = 0 as f(x) is continuous

Graph 2:

Maximum point: (5, 4)
Minimum point: (-3, -5)
No stationary point as f(x) is not continuous

Graph 3:

Any point between x = -2 and x = 7 is a maximum or a minimum point.
Any point between x = -2 and x = 7 is a stationary point except at
x = -2 and x = 7.

Sample Example on Connected Rate of Change

http://www.analyzemath.com/calculus/Problems/rate_change.html

Try Me:
A rectangular water tank (see figure below is being filled at the constant rate of 20 liters / second. The base of the tank has dimensions w = 1 m and L = 2 m. What is the rate of change of the height of water in the tank? (express the answer in cm /s)